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Finding the Third Proportional to 199,904 and 471,904

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Solution

The third proportional to 199,904 and 471,904 is: 1,114,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,904 : 471,904 = 471,904 : x
  2. Step 2: Convert to fraction form
    199,904/471,904 = 471,904/x
  3. Step 3: Cross multiply
    199,904x = 471,904 × 471,904
  4. Step 4: Simplify right side
    199,904x = 222,693,385,216
  5. Step 5: Solve for x
    x = 222,693,385,216/199,904
  6. Step 6: Final answer
    x = 1,114,001.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.